TSTP Solution File: TOP028+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 21:24:40 EDT 2022
% Result : Theorem 4.71s 1.65s
% Output : Proof 8.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 03:34:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.57 ____ _
% 0.51/0.57 ___ / __ \_____(_)___ ________ __________
% 0.51/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.57
% 0.51/0.57 A Theorem Prover for First-Order Logic
% 0.51/0.57 (ePrincess v.1.0)
% 0.51/0.57
% 0.51/0.57 (c) Philipp Rümmer, 2009-2015
% 0.51/0.57 (c) Peter Backeman, 2014-2015
% 0.51/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.57 Bug reports to peter@backeman.se
% 0.51/0.57
% 0.51/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.57
% 0.51/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.51/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.02/0.99 Prover 0: Preprocessing ...
% 3.11/1.31 Prover 0: Warning: ignoring some quantifiers
% 3.38/1.35 Prover 0: Constructing countermodel ...
% 4.71/1.65 Prover 0: proved (1034ms)
% 4.71/1.65
% 4.71/1.65 No countermodel exists, formula is valid
% 4.71/1.65 % SZS status Theorem for theBenchmark
% 4.71/1.66
% 4.71/1.66 Generating proof ... Warning: ignoring some quantifiers
% 7.44/2.28 found it (size 151)
% 7.44/2.28
% 7.44/2.28 % SZS output start Proof for theBenchmark
% 7.44/2.28 Assumed formulas after preprocessing and simplification:
% 7.44/2.28 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & l1_struct_0(v5) & l1_struct_0(v3) & v1_xboole_0(k1_xboole_0) & v5_membered(v4) & v5_membered(k1_xboole_0) & v4_membered(v4) & v4_membered(k1_xboole_0) & v3_membered(v4) & v3_membered(k1_xboole_0) & v2_membered(v4) & v2_membered(k1_xboole_0) & v1_membered(v4) & v1_membered(k1_xboole_0) & l1_pre_topc(v6) & l1_pre_topc(v0) & v2_pre_topc(v0) & ~ v1_xboole_0(v4) & ~ v3_struct_0(v3) & ~ v3_struct_0(v0) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (k1_zfmisc_1(v9) = v10) | ~ v1_xboole_0(v9) | ~ r2_hidden(v7, v8) | ~ m1_subset_1(v8, v10)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (k1_zfmisc_1(v9) = v10) | ~ r2_hidden(v7, v8) | ~ m1_subset_1(v8, v10) | m1_subset_1(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (k1_pre_topc(v9) = v8) | ~ (k1_pre_topc(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (u1_struct_0(v9) = v8) | ~ (u1_struct_0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (k1_zfmisc_1(v9) = v8) | ~ (k1_zfmisc_1(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v8) = v9) | ~ r1_tarski(v7, v8) | m1_subset_1(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v8) = v9) | ~ m1_subset_1(v7, v9) | r1_tarski(v7, v8)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v5_membered(v7) | ~ m1_subset_1(v9, v8) | v5_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v5_membered(v7) | ~ m1_subset_1(v9, v8) | v4_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v5_membered(v7) | ~ m1_subset_1(v9, v8) | v3_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v5_membered(v7) | ~ m1_subset_1(v9, v8) | v2_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v5_membered(v7) | ~ m1_subset_1(v9, v8) | v1_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v4_membered(v7) | ~ m1_subset_1(v9, v8) | v4_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v4_membered(v7) | ~ m1_subset_1(v9, v8) | v3_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v4_membered(v7) | ~ m1_subset_1(v9, v8) | v2_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v4_membered(v7) | ~ m1_subset_1(v9, v8) | v1_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v3_membered(v7) | ~ m1_subset_1(v9, v8) | v3_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v3_membered(v7) | ~ m1_subset_1(v9, v8) | v2_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v3_membered(v7) | ~ m1_subset_1(v9, v8) | v1_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v2_membered(v7) | ~ m1_subset_1(v9, v8) | v2_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v2_membered(v7) | ~ m1_subset_1(v9, v8) | v1_membered(v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v1_membered(v7) | ~ m1_subset_1(v9, v8) | v1_membered(v9)) & ! [v7] : ! [v8] : (v8 = v7 | ~ v1_xboole_0(v8) | ~ v1_xboole_0(v7)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v1_xboole_0(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v5_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v4_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v3_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v2_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | v1_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_struct_0(v7) | ? [v9] : ? [v10] : (u1_struct_0(v7) = v9 & k1_zfmisc_1(v9) = v10 & m1_subset_1(v8, v10))) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v4_pre_topc(v8, v7)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_pre_topc(v8, v7)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v1_xboole_0(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v5_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v4_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v2_membered(v8)) & ! [v7] : ! [v8] : ( ~ (k1_pre_topc(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v1_membered(v8)) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_struct_0(v7) | ~ v1_xboole_0(v8) | v3_struct_0(v7)) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_struct_0(v7) | v3_struct_0(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & m1_subset_1(v10, v9) & ~ v1_xboole_0(v10))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_struct_0(v7) | ? [v9] : ? [v10] : (k1_pre_topc(v7) = v9 & k1_zfmisc_1(v8) = v10 & m1_subset_1(v9, v10))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_struct_0(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v4_pre_topc(v10, v7) & v3_pre_topc(v10, v7) & m1_subset_1(v10, v9) & ~ v1_xboole_0(v10))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_struct_0(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v4_pre_topc(v10, v7) & m1_subset_1(v10, v9) & ~ v1_xboole_0(v10))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_struct_0(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v1_tsp_1(v10, v7) | ~ m1_subset_1(v10, v9) | ? [v11] : (r1_tarski(v10, v11) & v1_tsp_2(v11, v7) & m1_subset_1(v11, v9))))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | v3_struct_0(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v1_xboole_0(v10) | ~ m1_subset_1(v10, v9) | v3_tex_2(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v3_tops_1(v10, v7) & v2_tops_1(v10, v7) & v4_pre_topc(v10, v7) & v3_pre_topc(v10, v7) & v1_xboole_0(v10) & v5_membered(v10) & v4_membered(v10) & v3_membered(v10) & v2_membered(v10) & v1_membered(v10) & m1_subset_1(v10, v9))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v4_pre_topc(v10, v7) & v3_pre_topc(v10, v7) & m1_subset_1(v10, v9))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v4_pre_topc(v10, v7) & m1_subset_1(v10, v9))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v3_pre_topc(v10, v7) & m1_subset_1(v10, v9))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v2_tops_1(v10, v7)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v4_pre_topc(v10, v7)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v1_xboole_0(v10)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v5_membered(v10)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v4_membered(v10)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v3_membered(v10)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v2_membered(v10)) & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ v3_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v1_membered(v10)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v3_tops_1(v10, v7) | ~ m1_subset_1(v10, v9) | v2_tops_1(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v2_tops_1(v10, v7) | ~ v4_pre_topc(v10, v7) | ~ m1_subset_1(v10, v9) | v3_tops_1(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v1_xboole_0(v10) | ~ m1_subset_1(v10, v9) | v3_tops_1(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ~ v2_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v1_xboole_0(v10) | ~ m1_subset_1(v10, v9) | v4_pre_topc(v10, v7)) & ! [v10] : ( ~ v1_xboole_0(v10) | ~ m1_subset_1(v10, v9) | v3_pre_topc(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | v3_struct_0(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v3_tex_2(v10, v7) | ~ m1_subset_1(v10, v9) | v1_tsp_1(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ? [v9] : ? [v10] : (k1_zfmisc_1(v8) = v9 & v2_tops_1(v10, v7) & v1_xboole_0(v10) & v5_membered(v10) & v4_membered(v10) & v3_membered(v10) & v2_membered(v10) & v1_membered(v10) & m1_subset_1(v10, v9))) & ! [v7] : ! [v8] : ( ~ (u1_struct_0(v7) = v8) | ~ l1_pre_topc(v7) | ? [v9] : (k1_zfmisc_1(v8) = v9 & ! [v10] : ( ~ v1_xboole_0(v10) | ~ m1_subset_1(v10, v9) | v2_tops_1(v10, v7)))) & ! [v7] : ! [v8] : ( ~ (k1_zfmisc_1(v7) = v8) | ~ v1_xboole_0(v8)) & ! [v7] : ! [v8] : ( ~ (k1_zfmisc_1(v7) = v8) | v1_xboole_0(v7) | ? [v9] : (m1_subset_1(v9, v8) & ~ v1_xboole_0(v9))) & ! [v7] : ! [v8] : ( ~ (k1_zfmisc_1(v7) = v8) | ? [v9] : (v1_xboole_0(v9) & m1_subset_1(v9, v8))) & ! [v7] : ! [v8] : ( ~ v1_xboole_0(v8) | ~ r2_hidden(v7, v8)) & ! [v7] : ! [v8] : ( ~ v5_membered(v7) | ~ m1_subset_1(v8, v7) | v4_ordinal2(v8)) & ! [v7] : ! [v8] : ( ~ v5_membered(v7) | ~ m1_subset_1(v8, v7) | v1_int_1(v8)) & ! [v7] : ! [v8] : ( ~ v5_membered(v7) | ~ m1_subset_1(v8, v7) | v1_rat_1(v8)) & ! [v7] : ! [v8] : ( ~ v5_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xreal_0(v8)) & ! [v7] : ! [v8] : ( ~ v5_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xcmplx_0(v8)) & ! [v7] : ! [v8] : ( ~ v4_membered(v7) | ~ m1_subset_1(v8, v7) | v1_int_1(v8)) & ! [v7] : ! [v8] : ( ~ v4_membered(v7) | ~ m1_subset_1(v8, v7) | v1_rat_1(v8)) & ! [v7] : ! [v8] : ( ~ v4_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xreal_0(v8)) & ! [v7] : ! [v8] : ( ~ v4_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xcmplx_0(v8)) & ! [v7] : ! [v8] : ( ~ v3_membered(v7) | ~ m1_subset_1(v8, v7) | v1_rat_1(v8)) & ! [v7] : ! [v8] : ( ~ v3_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xreal_0(v8)) & ! [v7] : ! [v8] : ( ~ v3_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xcmplx_0(v8)) & ! [v7] : ! [v8] : ( ~ v2_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xreal_0(v8)) & ! [v7] : ! [v8] : ( ~ v2_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xcmplx_0(v8)) & ! [v7] : ! [v8] : ( ~ v1_membered(v7) | ~ m1_subset_1(v8, v7) | v1_xcmplx_0(v8)) & ! [v7] : ! [v8] : ( ~ r2_hidden(v8, v7) | ~ r2_hidden(v7, v8)) & ! [v7] : ! [v8] : ( ~ r2_hidden(v7, v8) | m1_subset_1(v7, v8)) & ! [v7] : ! [v8] : ( ~ m1_subset_1(v7, v8) | v1_xboole_0(v8) | r2_hidden(v7, v8)) & ! [v7] : (v7 = k1_xboole_0 | ~ v1_xboole_0(v7)) & ! [v7] : ( ~ v1_xboole_0(v7) | v5_membered(v7)) & ! [v7] : ( ~ v1_xboole_0(v7) | v4_membered(v7)) & ! [v7] : ( ~ v1_xboole_0(v7) | v3_membered(v7)) & ! [v7] : ( ~ v1_xboole_0(v7) | v2_membered(v7)) & ! [v7] : ( ~ v1_xboole_0(v7) | v1_membered(v7)) & ! [v7] : ( ~ v5_membered(v7) | v4_membered(v7)) & ! [v7] : ( ~ v4_membered(v7) | v3_membered(v7)) & ! [v7] : ( ~ v3_membered(v7) | v2_membered(v7)) & ! [v7] : ( ~ v2_membered(v7) | v1_membered(v7)) & ! [v7] : ( ~ v1_tsp_2(v7, v0) | ~ m1_subset_1(v7, v2)) & ! [v7] : ( ~ l1_pre_topc(v7) | l1_struct_0(v7)) & ? [v7] : ? [v8] : m1_subset_1(v8, v7) & ? [v7] : r1_tarski(v7, v7))
% 7.68/2.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 yields:
% 7.68/2.33 | (1) u1_struct_0(all_0_6_6) = all_0_5_5 & k1_zfmisc_1(all_0_5_5) = all_0_4_4 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_3_3) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_2_2) & v5_membered(k1_xboole_0) & v4_membered(all_0_2_2) & v4_membered(k1_xboole_0) & v3_membered(all_0_2_2) & v3_membered(k1_xboole_0) & v2_membered(all_0_2_2) & v2_membered(k1_xboole_0) & v1_membered(all_0_2_2) & v1_membered(k1_xboole_0) & l1_pre_topc(all_0_0_0) & l1_pre_topc(all_0_6_6) & v2_pre_topc(all_0_6_6) & ~ v1_xboole_0(all_0_2_2) & ~ v3_struct_0(all_0_3_3) & ~ v3_struct_0(all_0_6_6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_pre_topc(v2) = v1) | ~ (k1_pre_topc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v5_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3))) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_pre_topc(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_pre_topc(v1, v0)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (k1_pre_topc(v0) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_tsp_1(v3, v0) | ~ m1_subset_1(v3, v2) | ? [v4] : (r1_tarski(v3, v4) & v1_tsp_2(v4, v0) & m1_subset_1(v4, v2))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tex_2(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_tops_1(v3, v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v2_tops_1(v3, v0) | ~ v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tex_2(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) & ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) & ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) & ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) & ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) & ! [v0] : ( ~ v1_tsp_2(v0, all_0_6_6) | ~ m1_subset_1(v0, all_0_4_4)) & ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 7.94/2.36 |
% 7.94/2.36 | Applying alpha-rule on (1) yields:
% 7.94/2.36 | (2) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.94/2.36 | (3) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 7.94/2.36 | (4) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v4_membered(v1))
% 7.94/2.36 | (5) v2_pre_topc(all_0_6_6)
% 7.94/2.36 | (6) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 7.94/2.36 | (7) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_membered(v1))
% 7.94/2.36 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 7.94/2.36 | (9) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 7.94/2.36 | (10) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 7.94/2.36 | (11) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 7.94/2.36 | (12) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_membered(v1))
% 7.94/2.36 | (13) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.94/2.36 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.94/2.36 | (15) u1_struct_0(all_0_6_6) = all_0_5_5
% 7.94/2.36 | (16) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 7.94/2.36 | (17) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.94/2.36 | (18) ? [v0] : r1_tarski(v0, v0)
% 7.94/2.36 | (19) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0))))
% 7.94/2.36 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_pre_topc(v2) = v1) | ~ (k1_pre_topc(v2) = v0))
% 7.94/2.36 | (21) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.94/2.36 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.94/2.36 | (23) v1_xboole_0(k1_xboole_0)
% 7.94/2.36 | (24) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 7.94/2.36 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.94/2.36 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 7.94/2.37 | (27) k1_zfmisc_1(all_0_5_5) = all_0_4_4
% 7.94/2.37 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 7.94/2.37 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 7.94/2.37 | (30) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 7.94/2.37 | (31) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.94/2.37 | (32) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v3_membered(v1))
% 7.94/2.37 | (33) v3_membered(k1_xboole_0)
% 7.94/2.37 | (34) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_pre_topc(v1, v0))
% 7.94/2.37 | (35) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_xboole_0(v1))
% 7.94/2.37 | (36) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 7.94/2.37 | (37) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 7.94/2.37 | (38) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.94/2.37 | (39) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.94/2.37 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.94/2.37 | (41) v1_membered(all_0_2_2)
% 7.94/2.37 | (42) v2_membered(all_0_2_2)
% 7.94/2.37 | (43) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.94/2.37 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.94/2.37 | (45) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 7.94/2.37 | (46) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.94/2.37 | (47) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 7.94/2.37 | (48) ! [v0] : ( ~ v1_tsp_2(v0, all_0_6_6) | ~ m1_subset_1(v0, all_0_4_4))
% 7.94/2.37 | (49) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (k1_pre_topc(v0) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v2, v3)))
% 7.94/2.37 | (50) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 7.94/2.37 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.94/2.37 | (52) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_membered(v1))
% 7.94/2.37 | (53) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_pre_topc(v1, v0))
% 7.94/2.37 | (54) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_tsp_1(v3, v0) | ~ m1_subset_1(v3, v2) | ? [v4] : (r1_tarski(v3, v4) & v1_tsp_2(v4, v0) & m1_subset_1(v4, v2)))))
% 7.94/2.37 | (55) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 7.94/2.37 | (56) v5_membered(k1_xboole_0)
% 7.94/2.37 | (57) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.94/2.37 | (58) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.94/2.37 | (59) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v1_membered(v1))
% 7.94/2.37 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.94/2.38 | (61) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_membered(v1))
% 7.94/2.38 | (62) v2_membered(k1_xboole_0)
% 7.94/2.38 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.94/2.38 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.94/2.38 | (65) l1_pre_topc(all_0_6_6)
% 7.94/2.38 | (66) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_xboole_0(v1))
% 7.94/2.38 | (67) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 7.94/2.38 | (68) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.94/2.38 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.94/2.38 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 7.94/2.38 | (71) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tex_2(v3, v0))))
% 7.94/2.38 | (72) l1_struct_0(all_0_3_3)
% 7.94/2.38 | (73) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3))))
% 7.94/2.38 | (74) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 7.94/2.38 | (75) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.94/2.38 | (76) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.94/2.38 | (77) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 7.94/2.38 | (78) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 7.94/2.38 | (79) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_membered(v1))
% 7.94/2.38 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 7.94/2.38 | (81) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 7.94/2.38 | (82) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 7.94/2.38 | (83) l1_pre_topc(all_0_0_0)
% 7.94/2.38 | (84) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 7.94/2.38 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.94/2.38 | (86) v5_membered(all_0_2_2)
% 7.94/2.38 | (87) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.94/2.38 | (88) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 7.94/2.38 | (89) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v5_membered(v1))
% 7.94/2.38 | (90) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3)))
% 7.94/2.38 | (91) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 7.94/2.38 | (92) ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.94/2.38 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.94/2.38 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.94/2.38 | (95) ~ v1_xboole_0(all_0_2_2)
% 7.94/2.38 | (96) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.94/2.38 | (97) ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 7.94/2.38 | (98) v4_membered(all_0_2_2)
% 7.94/2.38 | (99) v1_membered(k1_xboole_0)
% 7.94/2.38 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 7.94/2.38 | (101) ~ v3_struct_0(all_0_6_6)
% 7.94/2.38 | (102) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_tops_1(v3, v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.94/2.39 | (103) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 7.94/2.39 | (104) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.94/2.39 | (105) v3_membered(all_0_2_2)
% 7.94/2.39 | (106) v4_membered(k1_xboole_0)
% 7.94/2.39 | (107) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tex_2(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_1(v3, v0))))
% 7.94/2.39 | (108) ! [v0] : ! [v1] : ( ~ (k1_pre_topc(v0) = v1) | ~ l1_struct_0(v0) | v2_membered(v1))
% 7.94/2.39 | (109) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.94/2.39 | (110) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 7.94/2.39 | (111) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 7.94/2.39 | (112) ~ v3_struct_0(all_0_3_3)
% 7.94/2.39 | (113) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v2_tops_1(v3, v0) | ~ v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 7.94/2.39 | (114) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 7.94/2.39 | (115) l1_struct_0(all_0_1_1)
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (114) with all_0_4_4, all_0_5_5 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_0_4_4, yields:
% 7.94/2.39 | (116) ? [v0] : (v1_xboole_0(v0) & m1_subset_1(v0, all_0_4_4))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (107) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 7.94/2.39 | (117) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v3_tex_2(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v1_tsp_1(v1, all_0_6_6)))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (39) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (118) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v2_tops_1(v1, all_0_6_6) & v1_xboole_0(v1) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (88) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (119) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_6_6)))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (97) with all_0_6_6 and discharging atoms l1_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (120) l1_struct_0(all_0_6_6)
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (24) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 7.94/2.39 | (121) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v4_pre_topc(v1, all_0_6_6) & v3_pre_topc(v1, all_0_6_6) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (45) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 7.94/2.39 | (122) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v4_pre_topc(v1, all_0_6_6) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (54) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 7.94/2.39 | (123) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | ? [v2] : (r1_tarski(v1, v2) & v1_tsp_2(v2, all_0_6_6) & m1_subset_1(v2, v0))))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (71) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 7.94/2.39 | (124) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v3_tex_2(v1, all_0_6_6)))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (102) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (125) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v3_tops_1(v1, all_0_6_6) & v2_tops_1(v1, all_0_6_6) & v4_pre_topc(v1, all_0_6_6) & v3_pre_topc(v1, all_0_6_6) & v1_xboole_0(v1) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (75) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (126) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v4_pre_topc(v1, all_0_6_6) & v3_pre_topc(v1, all_0_6_6) & m1_subset_1(v1, v0))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (21) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (127) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v4_pre_topc(v1, all_0_6_6) & m1_subset_1(v1, v0))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (46) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (128) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & v3_pre_topc(v1, all_0_6_6) & m1_subset_1(v1, v0))
% 7.94/2.39 |
% 7.94/2.39 | Instantiating formula (73) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.39 | (129) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_6_6)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_6_6)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v1_xboole_0(v1)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v5_membered(v1)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v4_membered(v1)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v3_membered(v1)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v2_membered(v1)) & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ v3_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v1_membered(v1)))
% 7.94/2.40 |
% 7.94/2.40 | Instantiating formula (10) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.40 | (130) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v3_tops_1(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_6_6)))
% 7.94/2.40 |
% 7.94/2.40 | Instantiating formula (113) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.40 | (131) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v2_tops_1(v1, all_0_6_6) | ~ v4_pre_topc(v1, all_0_6_6) | ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_6_6)))
% 7.94/2.40 |
% 7.94/2.40 | Instantiating formula (16) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.40 | (132) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_6_6)))
% 7.94/2.40 |
% 7.94/2.40 | Instantiating formula (19) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 7.94/2.40 | (133) ? [v0] : (k1_zfmisc_1(all_0_5_5) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_6_6)) & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v3_pre_topc(v1, all_0_6_6)))
% 7.94/2.40 |
% 7.94/2.40 | Instantiating (119) with all_13_0_10 yields:
% 7.94/2.40 | (134) k1_zfmisc_1(all_0_5_5) = all_13_0_10 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_13_0_10) | v2_tops_1(v0, all_0_6_6))
% 7.94/2.40 |
% 7.94/2.40 | Applying alpha-rule on (134) yields:
% 7.94/2.40 | (135) k1_zfmisc_1(all_0_5_5) = all_13_0_10
% 7.94/2.40 | (136) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_13_0_10) | v2_tops_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (128) with all_16_0_11, all_16_1_12 yields:
% 8.17/2.40 | (137) k1_zfmisc_1(all_0_5_5) = all_16_1_12 & v3_pre_topc(all_16_0_11, all_0_6_6) & m1_subset_1(all_16_0_11, all_16_1_12)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (137) yields:
% 8.17/2.40 | (138) k1_zfmisc_1(all_0_5_5) = all_16_1_12
% 8.17/2.40 | (139) v3_pre_topc(all_16_0_11, all_0_6_6)
% 8.17/2.40 | (140) m1_subset_1(all_16_0_11, all_16_1_12)
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (126) with all_18_0_13, all_18_1_14 yields:
% 8.17/2.40 | (141) k1_zfmisc_1(all_0_5_5) = all_18_1_14 & v4_pre_topc(all_18_0_13, all_0_6_6) & v3_pre_topc(all_18_0_13, all_0_6_6) & m1_subset_1(all_18_0_13, all_18_1_14)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (141) yields:
% 8.17/2.40 | (142) k1_zfmisc_1(all_0_5_5) = all_18_1_14
% 8.17/2.40 | (143) v4_pre_topc(all_18_0_13, all_0_6_6)
% 8.17/2.40 | (144) v3_pre_topc(all_18_0_13, all_0_6_6)
% 8.17/2.40 | (145) m1_subset_1(all_18_0_13, all_18_1_14)
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (118) with all_20_0_15, all_20_1_16 yields:
% 8.17/2.40 | (146) k1_zfmisc_1(all_0_5_5) = all_20_1_16 & v2_tops_1(all_20_0_15, all_0_6_6) & v1_xboole_0(all_20_0_15) & v5_membered(all_20_0_15) & v4_membered(all_20_0_15) & v3_membered(all_20_0_15) & v2_membered(all_20_0_15) & v1_membered(all_20_0_15) & m1_subset_1(all_20_0_15, all_20_1_16)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (146) yields:
% 8.17/2.40 | (147) v5_membered(all_20_0_15)
% 8.17/2.40 | (148) v4_membered(all_20_0_15)
% 8.17/2.40 | (149) m1_subset_1(all_20_0_15, all_20_1_16)
% 8.17/2.40 | (150) k1_zfmisc_1(all_0_5_5) = all_20_1_16
% 8.17/2.40 | (151) v3_membered(all_20_0_15)
% 8.17/2.40 | (152) v2_tops_1(all_20_0_15, all_0_6_6)
% 8.17/2.40 | (153) v2_membered(all_20_0_15)
% 8.17/2.40 | (154) v1_membered(all_20_0_15)
% 8.17/2.40 | (155) v1_xboole_0(all_20_0_15)
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (127) with all_22_0_17, all_22_1_18 yields:
% 8.17/2.40 | (156) k1_zfmisc_1(all_0_5_5) = all_22_1_18 & v4_pre_topc(all_22_0_17, all_0_6_6) & m1_subset_1(all_22_0_17, all_22_1_18)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (156) yields:
% 8.17/2.40 | (157) k1_zfmisc_1(all_0_5_5) = all_22_1_18
% 8.17/2.40 | (158) v4_pre_topc(all_22_0_17, all_0_6_6)
% 8.17/2.40 | (159) m1_subset_1(all_22_0_17, all_22_1_18)
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (117) with all_24_0_19 yields:
% 8.17/2.40 | (160) k1_zfmisc_1(all_0_5_5) = all_24_0_19 & ! [v0] : ( ~ v3_tex_2(v0, all_0_6_6) | ~ m1_subset_1(v0, all_24_0_19) | v1_tsp_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (160) yields:
% 8.17/2.40 | (161) k1_zfmisc_1(all_0_5_5) = all_24_0_19
% 8.17/2.40 | (162) ! [v0] : ( ~ v3_tex_2(v0, all_0_6_6) | ~ m1_subset_1(v0, all_24_0_19) | v1_tsp_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (125) with all_27_0_20, all_27_1_21 yields:
% 8.17/2.40 | (163) k1_zfmisc_1(all_0_5_5) = all_27_1_21 & v3_tops_1(all_27_0_20, all_0_6_6) & v2_tops_1(all_27_0_20, all_0_6_6) & v4_pre_topc(all_27_0_20, all_0_6_6) & v3_pre_topc(all_27_0_20, all_0_6_6) & v1_xboole_0(all_27_0_20) & v5_membered(all_27_0_20) & v4_membered(all_27_0_20) & v3_membered(all_27_0_20) & v2_membered(all_27_0_20) & v1_membered(all_27_0_20) & m1_subset_1(all_27_0_20, all_27_1_21)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (163) yields:
% 8.17/2.40 | (164) v2_membered(all_27_0_20)
% 8.17/2.40 | (165) v4_pre_topc(all_27_0_20, all_0_6_6)
% 8.17/2.40 | (166) m1_subset_1(all_27_0_20, all_27_1_21)
% 8.17/2.40 | (167) v5_membered(all_27_0_20)
% 8.17/2.40 | (168) v3_membered(all_27_0_20)
% 8.17/2.40 | (169) v1_xboole_0(all_27_0_20)
% 8.17/2.40 | (170) v4_membered(all_27_0_20)
% 8.17/2.40 | (171) v2_tops_1(all_27_0_20, all_0_6_6)
% 8.17/2.40 | (172) v3_pre_topc(all_27_0_20, all_0_6_6)
% 8.17/2.40 | (173) v3_tops_1(all_27_0_20, all_0_6_6)
% 8.17/2.40 | (174) v1_membered(all_27_0_20)
% 8.17/2.40 | (175) k1_zfmisc_1(all_0_5_5) = all_27_1_21
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (133) with all_29_0_22 yields:
% 8.17/2.40 | (176) k1_zfmisc_1(all_0_5_5) = all_29_0_22 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_29_0_22) | v4_pre_topc(v0, all_0_6_6)) & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_29_0_22) | v3_pre_topc(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (176) yields:
% 8.17/2.40 | (177) k1_zfmisc_1(all_0_5_5) = all_29_0_22
% 8.17/2.40 | (178) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_29_0_22) | v4_pre_topc(v0, all_0_6_6))
% 8.17/2.40 | (179) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_29_0_22) | v3_pre_topc(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (132) with all_32_0_23 yields:
% 8.17/2.40 | (180) k1_zfmisc_1(all_0_5_5) = all_32_0_23 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_32_0_23) | v3_tops_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (180) yields:
% 8.17/2.40 | (181) k1_zfmisc_1(all_0_5_5) = all_32_0_23
% 8.17/2.40 | (182) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_32_0_23) | v3_tops_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (130) with all_35_0_24 yields:
% 8.17/2.40 | (183) k1_zfmisc_1(all_0_5_5) = all_35_0_24 & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ m1_subset_1(v0, all_35_0_24) | v2_tops_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (183) yields:
% 8.17/2.40 | (184) k1_zfmisc_1(all_0_5_5) = all_35_0_24
% 8.17/2.40 | (185) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ m1_subset_1(v0, all_35_0_24) | v2_tops_1(v0, all_0_6_6))
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (116) with all_38_0_25 yields:
% 8.17/2.40 | (186) v1_xboole_0(all_38_0_25) & m1_subset_1(all_38_0_25, all_0_4_4)
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (186) yields:
% 8.17/2.40 | (187) v1_xboole_0(all_38_0_25)
% 8.17/2.40 | (188) m1_subset_1(all_38_0_25, all_0_4_4)
% 8.17/2.40 |
% 8.17/2.40 | Instantiating (129) with all_40_0_26 yields:
% 8.17/2.40 | (189) k1_zfmisc_1(all_0_5_5) = all_40_0_26 & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v2_tops_1(v0, all_0_6_6)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v4_pre_topc(v0, all_0_6_6)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v1_xboole_0(v0)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v5_membered(v0)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v4_membered(v0)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v3_membered(v0)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v2_membered(v0)) & ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v1_membered(v0))
% 8.17/2.40 |
% 8.17/2.40 | Applying alpha-rule on (189) yields:
% 8.17/2.40 | (190) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v3_membered(v0))
% 8.17/2.40 | (191) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v4_membered(v0))
% 8.17/2.41 | (192) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v2_membered(v0))
% 8.17/2.41 | (193) k1_zfmisc_1(all_0_5_5) = all_40_0_26
% 8.17/2.41 | (194) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v2_tops_1(v0, all_0_6_6))
% 8.17/2.41 | (195) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v1_membered(v0))
% 8.17/2.41 | (196) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v1_xboole_0(v0))
% 8.17/2.41 | (197) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v4_pre_topc(v0, all_0_6_6))
% 8.17/2.41 | (198) ! [v0] : ( ~ v3_tops_1(v0, all_0_6_6) | ~ v3_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_40_0_26) | v5_membered(v0))
% 8.17/2.41 |
% 8.17/2.41 | Instantiating (131) with all_43_0_27 yields:
% 8.17/2.41 | (199) k1_zfmisc_1(all_0_5_5) = all_43_0_27 & ! [v0] : ( ~ v2_tops_1(v0, all_0_6_6) | ~ v4_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_43_0_27) | v3_tops_1(v0, all_0_6_6))
% 8.17/2.41 |
% 8.17/2.41 | Applying alpha-rule on (199) yields:
% 8.17/2.41 | (200) k1_zfmisc_1(all_0_5_5) = all_43_0_27
% 8.17/2.41 | (201) ! [v0] : ( ~ v2_tops_1(v0, all_0_6_6) | ~ v4_pre_topc(v0, all_0_6_6) | ~ m1_subset_1(v0, all_43_0_27) | v3_tops_1(v0, all_0_6_6))
% 8.17/2.41 |
% 8.17/2.41 | Instantiating (124) with all_46_0_28 yields:
% 8.17/2.41 | (202) k1_zfmisc_1(all_0_5_5) = all_46_0_28 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_28) | v3_tex_2(v0, all_0_6_6))
% 8.17/2.41 |
% 8.17/2.41 | Applying alpha-rule on (202) yields:
% 8.17/2.41 | (203) k1_zfmisc_1(all_0_5_5) = all_46_0_28
% 8.17/2.41 | (204) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_28) | v3_tex_2(v0, all_0_6_6))
% 8.17/2.41 |
% 8.17/2.41 | Instantiating (122) with all_49_0_29, all_49_1_30 yields:
% 8.17/2.41 | (205) k1_zfmisc_1(all_0_5_5) = all_49_1_30 & v4_pre_topc(all_49_0_29, all_0_6_6) & m1_subset_1(all_49_0_29, all_49_1_30) & ~ v1_xboole_0(all_49_0_29)
% 8.17/2.41 |
% 8.17/2.41 | Applying alpha-rule on (205) yields:
% 8.17/2.41 | (206) k1_zfmisc_1(all_0_5_5) = all_49_1_30
% 8.17/2.41 | (207) v4_pre_topc(all_49_0_29, all_0_6_6)
% 8.17/2.41 | (208) m1_subset_1(all_49_0_29, all_49_1_30)
% 8.17/2.41 | (209) ~ v1_xboole_0(all_49_0_29)
% 8.17/2.41 |
% 8.17/2.41 | Instantiating (121) with all_51_0_31, all_51_1_32 yields:
% 8.17/2.41 | (210) k1_zfmisc_1(all_0_5_5) = all_51_1_32 & v4_pre_topc(all_51_0_31, all_0_6_6) & v3_pre_topc(all_51_0_31, all_0_6_6) & m1_subset_1(all_51_0_31, all_51_1_32) & ~ v1_xboole_0(all_51_0_31)
% 8.17/2.41 |
% 8.17/2.41 | Applying alpha-rule on (210) yields:
% 8.17/2.41 | (211) v4_pre_topc(all_51_0_31, all_0_6_6)
% 8.17/2.41 | (212) m1_subset_1(all_51_0_31, all_51_1_32)
% 8.17/2.41 | (213) k1_zfmisc_1(all_0_5_5) = all_51_1_32
% 8.17/2.41 | (214) ~ v1_xboole_0(all_51_0_31)
% 8.17/2.41 | (215) v3_pre_topc(all_51_0_31, all_0_6_6)
% 8.17/2.41 |
% 8.17/2.41 | Instantiating (123) with all_53_0_33 yields:
% 8.17/2.41 | (216) k1_zfmisc_1(all_0_5_5) = all_53_0_33 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_6_6) | ~ m1_subset_1(v0, all_53_0_33) | ? [v1] : (r1_tarski(v0, v1) & v1_tsp_2(v1, all_0_6_6) & m1_subset_1(v1, all_53_0_33)))
% 8.17/2.41 |
% 8.17/2.41 | Applying alpha-rule on (216) yields:
% 8.17/2.41 | (217) k1_zfmisc_1(all_0_5_5) = all_53_0_33
% 8.17/2.41 | (218) ! [v0] : ( ~ v1_tsp_1(v0, all_0_6_6) | ~ m1_subset_1(v0, all_53_0_33) | ? [v1] : (r1_tarski(v0, v1) & v1_tsp_2(v1, all_0_6_6) & m1_subset_1(v1, all_53_0_33)))
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_49_1_30, all_0_4_4 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_49_1_30, k1_zfmisc_1(all_0_5_5) = all_0_4_4, yields:
% 8.17/2.41 | (219) all_49_1_30 = all_0_4_4
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_49_1_30, all_51_1_32 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_51_1_32, k1_zfmisc_1(all_0_5_5) = all_49_1_30, yields:
% 8.17/2.41 | (220) all_51_1_32 = all_49_1_30
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_46_0_28, all_53_0_33 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_53_0_33, k1_zfmisc_1(all_0_5_5) = all_46_0_28, yields:
% 8.17/2.41 | (221) all_53_0_33 = all_46_0_28
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_43_0_27, all_46_0_28 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_46_0_28, k1_zfmisc_1(all_0_5_5) = all_43_0_27, yields:
% 8.17/2.41 | (222) all_46_0_28 = all_43_0_27
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_35_0_24, all_43_0_27 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_43_0_27, k1_zfmisc_1(all_0_5_5) = all_35_0_24, yields:
% 8.17/2.41 | (223) all_43_0_27 = all_35_0_24
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_32_0_23, all_51_1_32 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_51_1_32, k1_zfmisc_1(all_0_5_5) = all_32_0_23, yields:
% 8.17/2.41 | (224) all_51_1_32 = all_32_0_23
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_29_0_22, all_35_0_24 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_35_0_24, k1_zfmisc_1(all_0_5_5) = all_29_0_22, yields:
% 8.17/2.41 | (225) all_35_0_24 = all_29_0_22
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_27_1_21, all_49_1_30 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_49_1_30, k1_zfmisc_1(all_0_5_5) = all_27_1_21, yields:
% 8.17/2.41 | (226) all_49_1_30 = all_27_1_21
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_24_0_19, all_40_0_26 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_40_0_26, k1_zfmisc_1(all_0_5_5) = all_24_0_19, yields:
% 8.17/2.41 | (227) all_40_0_26 = all_24_0_19
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_22_1_18, all_40_0_26 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_40_0_26, k1_zfmisc_1(all_0_5_5) = all_22_1_18, yields:
% 8.17/2.41 | (228) all_40_0_26 = all_22_1_18
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_22_1_18, all_27_1_21 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_27_1_21, k1_zfmisc_1(all_0_5_5) = all_22_1_18, yields:
% 8.17/2.41 | (229) all_27_1_21 = all_22_1_18
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_20_1_16, all_29_0_22 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_29_0_22, k1_zfmisc_1(all_0_5_5) = all_20_1_16, yields:
% 8.17/2.41 | (230) all_29_0_22 = all_20_1_16
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_20_1_16, all_22_1_18 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_22_1_18, k1_zfmisc_1(all_0_5_5) = all_20_1_16, yields:
% 8.17/2.41 | (231) all_22_1_18 = all_20_1_16
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_18_1_14, all_40_0_26 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_40_0_26, k1_zfmisc_1(all_0_5_5) = all_18_1_14, yields:
% 8.17/2.41 | (232) all_40_0_26 = all_18_1_14
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_16_1_12, all_53_0_33 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_53_0_33, k1_zfmisc_1(all_0_5_5) = all_16_1_12, yields:
% 8.17/2.41 | (233) all_53_0_33 = all_16_1_12
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (8) with all_0_5_5, all_13_0_10, all_22_1_18 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_22_1_18, k1_zfmisc_1(all_0_5_5) = all_13_0_10, yields:
% 8.17/2.41 | (234) all_22_1_18 = all_13_0_10
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (111) with all_38_0_25 and discharging atoms v1_xboole_0(all_38_0_25), yields:
% 8.17/2.41 | (235) all_38_0_25 = k1_xboole_0
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (9) with all_27_0_20, all_38_0_25 and discharging atoms v1_xboole_0(all_38_0_25), v1_xboole_0(all_27_0_20), yields:
% 8.17/2.41 | (236) all_38_0_25 = all_27_0_20
% 8.17/2.41 |
% 8.17/2.41 | Instantiating formula (9) with all_20_0_15, all_38_0_25 and discharging atoms v1_xboole_0(all_38_0_25), v1_xboole_0(all_20_0_15), yields:
% 8.17/2.42 | (237) all_38_0_25 = all_20_0_15
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (221,233) yields a new equation:
% 8.17/2.42 | (238) all_46_0_28 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 238 yields:
% 8.17/2.42 | (239) all_46_0_28 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (220,224) yields a new equation:
% 8.17/2.42 | (240) all_49_1_30 = all_32_0_23
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 240 yields:
% 8.17/2.42 | (241) all_49_1_30 = all_32_0_23
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (226,241) yields a new equation:
% 8.17/2.42 | (242) all_32_0_23 = all_27_1_21
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (219,241) yields a new equation:
% 8.17/2.42 | (243) all_32_0_23 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (222,239) yields a new equation:
% 8.17/2.42 | (244) all_43_0_27 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 244 yields:
% 8.17/2.42 | (245) all_43_0_27 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (223,245) yields a new equation:
% 8.17/2.42 | (246) all_35_0_24 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 246 yields:
% 8.17/2.42 | (247) all_35_0_24 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (228,227) yields a new equation:
% 8.17/2.42 | (248) all_24_0_19 = all_22_1_18
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (232,227) yields a new equation:
% 8.17/2.42 | (249) all_24_0_19 = all_18_1_14
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (235,236) yields a new equation:
% 8.17/2.42 | (250) all_27_0_20 = k1_xboole_0
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (237,236) yields a new equation:
% 8.17/2.42 | (251) all_27_0_20 = all_20_0_15
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (225,247) yields a new equation:
% 8.17/2.42 | (252) all_29_0_22 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 252 yields:
% 8.17/2.42 | (253) all_29_0_22 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (242,243) yields a new equation:
% 8.17/2.42 | (254) all_27_1_21 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 254 yields:
% 8.17/2.42 | (255) all_27_1_21 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (230,253) yields a new equation:
% 8.17/2.42 | (256) all_20_1_16 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 256 yields:
% 8.17/2.42 | (257) all_20_1_16 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (251,250) yields a new equation:
% 8.17/2.42 | (258) all_20_0_15 = k1_xboole_0
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 258 yields:
% 8.17/2.42 | (259) all_20_0_15 = k1_xboole_0
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (229,255) yields a new equation:
% 8.17/2.42 | (260) all_22_1_18 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 260 yields:
% 8.17/2.42 | (261) all_22_1_18 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (248,249) yields a new equation:
% 8.17/2.42 | (262) all_22_1_18 = all_18_1_14
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 262 yields:
% 8.17/2.42 | (263) all_22_1_18 = all_18_1_14
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (234,263) yields a new equation:
% 8.17/2.42 | (264) all_18_1_14 = all_13_0_10
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (261,263) yields a new equation:
% 8.17/2.42 | (265) all_18_1_14 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (231,263) yields a new equation:
% 8.17/2.42 | (266) all_20_1_16 = all_18_1_14
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 266 yields:
% 8.17/2.42 | (267) all_20_1_16 = all_18_1_14
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (267,257) yields a new equation:
% 8.17/2.42 | (268) all_18_1_14 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Simplifying 268 yields:
% 8.17/2.42 | (269) all_18_1_14 = all_16_1_12
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (264,269) yields a new equation:
% 8.17/2.42 | (270) all_16_1_12 = all_13_0_10
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (265,269) yields a new equation:
% 8.17/2.42 | (271) all_16_1_12 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (271,270) yields a new equation:
% 8.17/2.42 | (272) all_13_0_10 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (272,270) yields a new equation:
% 8.17/2.42 | (271) all_16_1_12 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (271,269) yields a new equation:
% 8.17/2.42 | (265) all_18_1_14 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (271,257) yields a new equation:
% 8.17/2.42 | (275) all_20_1_16 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (265,249) yields a new equation:
% 8.17/2.42 | (276) all_24_0_19 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (271,239) yields a new equation:
% 8.17/2.42 | (277) all_46_0_28 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | Combining equations (271,233) yields a new equation:
% 8.17/2.42 | (278) all_53_0_33 = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | From (272) and (135) follows:
% 8.17/2.42 | (27) k1_zfmisc_1(all_0_5_5) = all_0_4_4
% 8.17/2.42 |
% 8.17/2.42 | From (259) and (155) follows:
% 8.17/2.43 | (23) v1_xboole_0(k1_xboole_0)
% 8.17/2.43 |
% 8.17/2.43 | From (259)(275) and (149) follows:
% 8.17/2.43 | (281) m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (91) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_struct_0(all_0_6_6), ~ v3_struct_0(all_0_6_6), yields:
% 8.17/2.43 | (282) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_5_5) = v0 & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (49) with all_0_5_5, all_0_6_6 and discharging atoms u1_struct_0(all_0_6_6) = all_0_5_5, l1_struct_0(all_0_6_6), yields:
% 8.17/2.43 | (283) ? [v0] : ? [v1] : (k1_pre_topc(all_0_6_6) = v0 & k1_zfmisc_1(all_0_5_5) = v1 & m1_subset_1(v0, v1))
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (204) with k1_xboole_0 and discharging atoms v1_xboole_0(k1_xboole_0), yields:
% 8.17/2.43 | (284) ~ m1_subset_1(k1_xboole_0, all_46_0_28) | v3_tex_2(k1_xboole_0, all_0_6_6)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating (283) with all_66_0_34, all_66_1_35 yields:
% 8.17/2.43 | (285) k1_pre_topc(all_0_6_6) = all_66_1_35 & k1_zfmisc_1(all_0_5_5) = all_66_0_34 & m1_subset_1(all_66_1_35, all_66_0_34)
% 8.17/2.43 |
% 8.17/2.43 | Applying alpha-rule on (285) yields:
% 8.17/2.43 | (286) k1_pre_topc(all_0_6_6) = all_66_1_35
% 8.17/2.43 | (287) k1_zfmisc_1(all_0_5_5) = all_66_0_34
% 8.17/2.43 | (288) m1_subset_1(all_66_1_35, all_66_0_34)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating (282) with all_68_0_36, all_68_1_37 yields:
% 8.17/2.43 | (289) k1_zfmisc_1(all_0_5_5) = all_68_1_37 & m1_subset_1(all_68_0_36, all_68_1_37) & ~ v1_xboole_0(all_68_0_36)
% 8.17/2.43 |
% 8.17/2.43 | Applying alpha-rule on (289) yields:
% 8.17/2.43 | (290) k1_zfmisc_1(all_0_5_5) = all_68_1_37
% 8.17/2.43 | (291) m1_subset_1(all_68_0_36, all_68_1_37)
% 8.17/2.43 | (292) ~ v1_xboole_0(all_68_0_36)
% 8.17/2.43 |
% 8.17/2.43 +-Applying beta-rule and splitting (284), into two cases.
% 8.17/2.43 |-Branch one:
% 8.17/2.43 | (293) ~ m1_subset_1(k1_xboole_0, all_46_0_28)
% 8.17/2.43 |
% 8.17/2.43 | From (277) and (293) follows:
% 8.17/2.43 | (294) ~ m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Using (281) and (294) yields:
% 8.17/2.43 | (295) $false
% 8.17/2.43 |
% 8.17/2.43 |-The branch is then unsatisfiable
% 8.17/2.43 |-Branch two:
% 8.17/2.43 | (296) m1_subset_1(k1_xboole_0, all_46_0_28)
% 8.17/2.43 | (297) v3_tex_2(k1_xboole_0, all_0_6_6)
% 8.17/2.43 |
% 8.17/2.43 | From (277) and (296) follows:
% 8.17/2.43 | (281) m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (8) with all_0_5_5, all_68_1_37, all_0_4_4 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_68_1_37, k1_zfmisc_1(all_0_5_5) = all_0_4_4, yields:
% 8.17/2.43 | (299) all_68_1_37 = all_0_4_4
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (8) with all_0_5_5, all_66_0_34, all_68_1_37 and discharging atoms k1_zfmisc_1(all_0_5_5) = all_68_1_37, k1_zfmisc_1(all_0_5_5) = all_66_0_34, yields:
% 8.17/2.43 | (300) all_68_1_37 = all_66_0_34
% 8.17/2.43 |
% 8.17/2.43 | Combining equations (299,300) yields a new equation:
% 8.17/2.43 | (301) all_66_0_34 = all_0_4_4
% 8.17/2.43 |
% 8.17/2.43 | From (301) and (288) follows:
% 8.17/2.43 | (302) m1_subset_1(all_66_1_35, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (66) with all_66_1_35, all_0_6_6 and discharging atoms k1_pre_topc(all_0_6_6) = all_66_1_35, l1_pre_topc(all_0_6_6), v2_pre_topc(all_0_6_6), yields:
% 8.17/2.43 | (303) v1_xboole_0(all_66_1_35)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (162) with k1_xboole_0 and discharging atoms v3_tex_2(k1_xboole_0, all_0_6_6), yields:
% 8.17/2.43 | (304) ~ m1_subset_1(k1_xboole_0, all_24_0_19) | v1_tsp_1(k1_xboole_0, all_0_6_6)
% 8.17/2.43 |
% 8.17/2.43 +-Applying beta-rule and splitting (304), into two cases.
% 8.17/2.43 |-Branch one:
% 8.17/2.43 | (305) ~ m1_subset_1(k1_xboole_0, all_24_0_19)
% 8.17/2.43 |
% 8.17/2.43 | From (276) and (305) follows:
% 8.17/2.43 | (294) ~ m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Using (281) and (294) yields:
% 8.17/2.43 | (295) $false
% 8.17/2.43 |
% 8.17/2.43 |-The branch is then unsatisfiable
% 8.17/2.43 |-Branch two:
% 8.17/2.43 | (308) m1_subset_1(k1_xboole_0, all_24_0_19)
% 8.17/2.43 | (309) v1_tsp_1(k1_xboole_0, all_0_6_6)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (111) with all_66_1_35 and discharging atoms v1_xboole_0(all_66_1_35), yields:
% 8.17/2.43 | (310) all_66_1_35 = k1_xboole_0
% 8.17/2.43 |
% 8.17/2.43 | From (310) and (302) follows:
% 8.17/2.43 | (281) m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (218) with k1_xboole_0 and discharging atoms v1_tsp_1(k1_xboole_0, all_0_6_6), yields:
% 8.17/2.43 | (312) ~ m1_subset_1(k1_xboole_0, all_53_0_33) | ? [v0] : (r1_tarski(k1_xboole_0, v0) & v1_tsp_2(v0, all_0_6_6) & m1_subset_1(v0, all_53_0_33))
% 8.17/2.43 |
% 8.17/2.43 +-Applying beta-rule and splitting (312), into two cases.
% 8.17/2.43 |-Branch one:
% 8.17/2.43 | (313) ~ m1_subset_1(k1_xboole_0, all_53_0_33)
% 8.17/2.43 |
% 8.17/2.43 | From (278) and (313) follows:
% 8.17/2.43 | (294) ~ m1_subset_1(k1_xboole_0, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Using (281) and (294) yields:
% 8.17/2.43 | (295) $false
% 8.17/2.43 |
% 8.17/2.43 |-The branch is then unsatisfiable
% 8.17/2.43 |-Branch two:
% 8.17/2.43 | (316) m1_subset_1(k1_xboole_0, all_53_0_33)
% 8.17/2.43 | (317) ? [v0] : (r1_tarski(k1_xboole_0, v0) & v1_tsp_2(v0, all_0_6_6) & m1_subset_1(v0, all_53_0_33))
% 8.17/2.43 |
% 8.17/2.43 | Instantiating (317) with all_103_0_38 yields:
% 8.17/2.43 | (318) r1_tarski(k1_xboole_0, all_103_0_38) & v1_tsp_2(all_103_0_38, all_0_6_6) & m1_subset_1(all_103_0_38, all_53_0_33)
% 8.17/2.43 |
% 8.17/2.43 | Applying alpha-rule on (318) yields:
% 8.17/2.43 | (319) r1_tarski(k1_xboole_0, all_103_0_38)
% 8.17/2.43 | (320) v1_tsp_2(all_103_0_38, all_0_6_6)
% 8.17/2.43 | (321) m1_subset_1(all_103_0_38, all_53_0_33)
% 8.17/2.43 |
% 8.17/2.43 | From (278) and (321) follows:
% 8.17/2.43 | (322) m1_subset_1(all_103_0_38, all_0_4_4)
% 8.17/2.43 |
% 8.17/2.43 | Instantiating formula (48) with all_103_0_38 and discharging atoms v1_tsp_2(all_103_0_38, all_0_6_6), m1_subset_1(all_103_0_38, all_0_4_4), yields:
% 8.17/2.43 | (295) $false
% 8.17/2.43 |
% 8.17/2.43 |-The branch is then unsatisfiable
% 8.17/2.43 % SZS output end Proof for theBenchmark
% 8.17/2.43
% 8.17/2.43 1850ms
%------------------------------------------------------------------------------